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Finding the Fourth Proportional to 473,150.81, 651,290.80 and 412,614.65

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Solution

The fourth proportional to 473,150.81, 651,290.80 and 412,614.65 is: 567,962.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,150.81 : 651,290.80 = 412,614.65 : x
  2. Step 2: Convert to fraction form
    473,150.81/651,290.80 = 412,614.65/x
  3. Step 3: Cross multiply
    473,150.81x = 651,290.80 × 412,614.65
  4. Step 4: Simplify right side
    473,150.81x = 268,732,125,490.22
  5. Step 5: Solve for x
    x = 268,732,125,490.22/473,150.81
  6. Step 6: Final answer
    x = 567,962.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.